Reactionπd→pπnin theΔresonance region

Differential cross sections for the reaction ${}_{}{}^2{}_{}{}^{}\mathrm{H}({\pi }^{\pm },p{\pi }^{\pm })n$ at incident pion momentum 340 MeV/c in a kinematically complete experiment are reported for eleven angle pairs. At neutron momenta ≲ 40 MeV/c the cross section peaks sharply and is described well by an impulse approximation corrected for entrance channel effects; the ratio of ${\pi }^{+}$ to ${\pi }^{-}$ cross section is approximately 9 to 1. For neutron momenta ≳ 40 MeV/c, the data are well fit by a combination of a $J^{\pi }=2^{+} N\Delta$ dibaryon resonance amplitude and an impulse approximation background; in some cases the ratio of ${\pi }^{+}$ to ${\pi }^{-}$ cross section is 1 to 1.